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Finding the Fourth Proportional to 2,088.32, 3,133.80 and 789.92

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Solution

The fourth proportional to 2,088.32, 3,133.80 and 789.92 is: 1,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.32 : 3,133.80 = 789.92 : x
  2. Step 2: Convert to fraction form
    2,088.32/3,133.80 = 789.92/x
  3. Step 3: Cross multiply
    2,088.32x = 3,133.80 × 789.92
  4. Step 4: Simplify right side
    2,088.32x = 2,475,451.30
  5. Step 5: Solve for x
    x = 2,475,451.30/2,088.32
  6. Step 6: Final answer
    x = 1,185.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.